A comparison of polynomial and wavelet expansions for the identification of chaotic coupled map lattices
Guo, L.Z. and Billings, S.A.
(2004)
A comparison of polynomial and wavelet expansions for the identification of chaotic coupled map lattices.
Research Report.
ACSE Research Report no. 860
.
Automatic Control and Systems Engineering, University of Sheffield
Abstract
A comparison between polynomial and wavelet expansions for the identification of coupled map lattice (CML) models for deterministic spatio-temporal dynamical systems is presented in this paper. The pattern dynamics generated by smooth and non-smooth nonlinear maps in a well-known 2-dimensional CML structure are analysed. By using an orthogonal feedforward regression algorithm (OFR), polynomial and wavelet models are identified for the CML’s in chaotic regimes. The quantitative dynamical invariants such as the largest Lyapunov exponents and correlation dimensions are estimated and used to evaluate the performance of the identified models.
Metadata
Item Type:
Monograph
Authors/Creators:
Guo, L.Z.
Billings, S.A.
Copyright, Publisher and Additional Information:
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